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A LINEAR-NONLINEAR SEPARATION METHOD FOR DIRECT NUMERICAL SIMULATION OF SHOCK-TURBULENCE INTERACTION

X. Y. Hu
Lehrstuhl fur Aerodynamik, Technische Universitat Munchen 85748 Garching, Germany

Nikolaus A. Adams
Chair of Aerodynamics and Fluid Mechanics, Department of Mechanical Engineering, Technical University of Munich, 85748 Garching bei München, Germany

Bing Wang
School of Aerospace Engineering, Tsinghua University, Beijing, 10084, China

Resumo

In this work, we propose a linear-nonlinear separation method, which hybridizes the 5th-order dispersion-dissipation-optimized WENO scheme in Hu et al. (2012) with its optimal linear scheme, for direct numerical simulation of shock-turbulence interaction. The method is based on the characteristic-wise formulation, by which the application of linear and nonlinear schemes are separated by measuring the non-resolvability of the linear scheme. Taking the advantage of characteristic-wise formulation, the measurement is formulated as a single universal non-dimensional number. Since the linear scheme omits the computation of the WENO weights, and most of the characteristic-projection operations, the scheme increase the overall computational efficiency greatly.